1006008 has 32 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 332000.

The previous prime is 1006007. The next prime is 1006021. The reversal of 1006008 is 8006001.

It is a Cunningham number, because it is equal to 1003²-1.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3883 + ... + 4133.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^1006008 is an apocalyptic number.

It is an amenable number.

1006008 is an abundant number, since it is smaller than the sum of its proper divisors (1534152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006008 is a wasteful number, since it uses less digits than its factorization.

1006008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1006008 is about 1002.9995014954. Note that the first 3 decimals coincide. The cubic root of 1006008 is about 100.1998669326.

The spelling of 1006008 in words is "one million, six thousand, eight".